Rejection of nonharmonic disturbances in a class of nonlinear systems with nonlinear exosystems

This paper proposes an asymptotic rejection algorithm for rejecting exotic disturbances in nonlinear systems. The disturbances, which are produced by nonlinear exosystems, are nonharmonic and periodic. A new internal model is proposed to deal with the disturbances. Further, an adaptive output feedback controller is designed to ensure that the system's state variables can asymptotically converge to zero, and the disturbances can be completely rejected. The proposed algorithm can be used in many applications, e.g. active vibration control, and the avoidance of nonharmonic distortion in nonlinear circuits. An example is performed to demonstrate that the proposed algorithm can completely reject the nonharmonic periodic disturbances produced by nonlinear exosystems. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society